1. Boolean Algebra

2. Laws of Boolean Algebra Commutative LawExpression Addition: A + B = B + A Multiplication: A B = B A Associative Addition: A + (B+C) = (A+B) + C Multiplication: A(BC) = (AB)C DistributiveA(B+C) = AB + AC (A + B)(C + D) = AC+BC+AD+BD

3. Rules of Boolean Algebra A + 0 = A A + 1 = 1 A + A = A A + A = 1 A · 0 = 0 A · 1 = A A · A = A A · A = 0 A = A A + AB = A A + AB = A + B (A + B)(A + C) = A + BC

4. Boolean Algebra Sample Problems

5. Boolean Simplification Rule applied

6. Boolean Simplification Rule applied

7. Boolean Simplification Rule Applied

8. Boolean Simplification Rule Applied

9. Boolean Simplification Rule Applied

10. Boolean Simplification Rule Applied

11. Boolean Simplification Rule Applied

12. Boolean Simplification Rule Applied